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GCF of 452/62, 622/1725

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 452/62, 622/1725 i.e 2/106950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/62, 622/1725.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 452/62,622/1725?

Given fractions are 452/62,622/1725

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 452/62,622/1725, numerators are 452,622

Denominators are 62,1725

The GCF of 452,622 is 2 .

LCM of 62,1725 is 106950.

The greatest common factor of 452/62,622/1725 = [GCF of 452,622]/[LCM of 62,1725]= 2/106950

Therefore, the GCF of 452/62,622/1725 is 2/106950.

Greatest Common Factor of 452,622

To find the highest common factor of 452,622, we have to find the factors of both numbers and list the highest common factor.

The factors of 452 are 1, 2, 4, 113, 226, 452

The factors of 622 are 1, 2, 311, 622

The HCF of 452,622 is 2.

Lets's calculate GCF of 452,622

Greatest Common Factor (GCF) of 452,622 By Common Division

2 452, 622
226, 311

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 452,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,622 By Matching Biggest Common Factor Method

Now, list down the factors of 452

:

1,2,4,113,226,452

Now, list down the factors of 622

:

1,2,311,622

Greatest Common Factor

We found the factors 452,622 . The biggest common factor number is the GCF number.
So the greatest common factor 452,622 is 2.

Lets's calculate LCM of 62,1725

Lowest Common Multiple of 62,1725 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 106950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/106950

Therefore, the GCF of Fractions 452/62,622/1725 is 2/106950

Least Common Multiple of 62,1725 with GCF Formula

Least Common Multiple of 62,1725 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 62,1725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,1725) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(62,1725) x common factors =1 x 1 = 1

LCM(62,1725) = ( 62 × 1725 ) / 1

LCM(62,1725) = 106950 / 1

LCM(62,1725) = 106950


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FAQs on GCF of Fractions of 452/62, 622/1725

1. What is the HCF of 452,622?

The HCF of 452,622 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 452/62, 622/1725?

Answer: GCF of Numerators as per given numbers 452/62, 622/1725 is

GCF of Numerators i.e. for 452,622 is 2

LCM of denominators i.e. for 62,1725 is 106950.

Thus, GCF of Fractions is 2/106950.Finally, GCF of Fractions for 452/62, 622/1725 is 2/106950.